• 제목/요약/키워드: poisson ratio

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Testing of Poisson Incidence Rate Restriction

  • Singh, Karan;Shanmugam, Ramalingam
    • International Journal of Reliability and Applications
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    • 제2권4호
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    • pp.263-268
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    • 2001
  • Shanmugam(1991) generalized the Poisson distribution to capture a restriction on the incidence rate $\theta$ (i.e. $\theta$$\beta$, an unknown upper limit), and named it incidence rate restricted Poisson (IRRP) distribution. Using Neyman's C($\alpha$) concept, Shanmugam then devised a hypothesis testing procedure for $\beta$ when $\theta$ remains unknown nuisance parameter. Shanmugam's C ($\alpha$) based .results involve inverse moments which are not easy tools, This article presents an alternate testing procedure based on likelihood ratio concept. It turns out that likelihood ratio test statistic offers more power than the C($\alpha$) test statistic. Numerical examples are included.

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제로절단된 이변량 일반화 포아송 분포에서 산포모수의 효과 및 산포의 동일성에 대한 검정 (The Effects of Dispersion Parameters and Test for Equality of Dispersion Parameters in Zero-Truncated Bivariate Generalized Poisson Models)

  • 이동희;정병철
    • 응용통계연구
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    • 제23권3호
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    • pp.585-594
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    • 2010
  • 본 연구에서는 제로절단된 이변량 일반화 포아송 분포에서 두 반응변수간 산포모수의 효과에 대하여 연구하였다. 모의실험 결과 두 반응변수가 서로 다른 산포를 갖는 경우 이를 무시하는 이변량 포아송 분포나 이변량 음이항 분포에 의한 모형적합은 효율성이 떨어지는 것으로 나타났다. 아울러 본 연구에서는 이와 같은 상이한 산포의 존재유무에 대한 가설검정에서 스코어 검정을 유도하고 우도비 검정과 효율성을 비교하였다.

시추공 물리탐사를 이용한 동탄성계수와 암상과의 상관성 분석 (Relationship between Dynamic Elastic Modulus and Lithology using Borehole Prospecting)

  • 박충화;송무영;박종오
    • 한국지구과학회지
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    • 제23권6호
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    • pp.507-513
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    • 2002
  • 유성일대 화강암, 팔당일대 호상 편마암 및 사북일대 퇴적암 지역에서 동탄성계수와 탄성파 속도와의 관계를 밝히기 위하여 완전파형음파검층을 통해 이들 암상에서 탄성파 P파와 S파 속도를 측정하였다. 또한 유성일대 화강암과 팔당일대 편마암 지역에 대해서는 일축압축강도와 포아송비를 실내시험에서 측정하였다. 실내실험 자료에서는 팔당 호상편마암 지역의 탄성파 P파 및 S파 속도가 유성의 화강암 지역보다 높게 나타난 반면, 포아송비가 낮은 값을 보이므로 포아송비의 증가함에 따라 탄성파 P파 및 S파 속도가 감소하는 상관관계를 보였다. 완전파형음파검층을 통하여 얻어진 동탄성계수는 동체적탄성계수와 동전단탄성계수에 비하여 높은 값을 보인다.

직교이방성 복합적층구조의 거동: 포아송비의 임의성에 의한 영향 (Behavior of Orthotropic Composite Plate Due to Random Poisson's Ratio)

  • 노혁천
    • 한국전산구조공학회논문집
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    • 제22권6호
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    • pp.627-637
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    • 2009
  • 복합재료는 재료적, 역학적으로 뛰어난 특성을 가진 재료로서 엔지니어링분야의 많은 부분에 적용되고 있다. 특히 무게 대비 강성비가 높은 특성을 가지고 있으며 다양한 형상에 대한 성형성도 뛰어나다. 그러나 재료의 특성상 두 가지 재료를 조합하여 제작하는 복잡한 과정은 재료상수에 높은 임의성을 야기할 가능성이 있다. 본 연구에서는 재료상수 중 포아송비의 공간적 임의성을 고려한 추계론적 유한요소해석 정식화를 제시한다. 직교이방성 복합적층구조의 두 재료축에 대한 상호관계를 적용하여 두 재료축방향의 포아송비를 하나의 대표값으로 나타내었고, 이를 합력-변형률관계에 적용하였다. 이를 통하여 합력-변형률관계를 포아송비의 변동항의 수학적 표현인 추계장함수의 차수에 따라 분해된 형태로 유도하였고, 이를 정식화에 적용하여 응답분산계수를 제시하였다. 제시한 응답분산계수는 몬테카를로 해석의 결과와 비교하였다.

기판 Etching 기법을 이용한 DLC 필름의 탄성특성 평가 (Evaluation of Elastic Properties of DLC Films Using Substrate Etching Techniques)

  • 조성진;이광렬;은광용;한준희;고대홍
    • 한국세라믹학회지
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    • 제35권8호
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    • pp.813-818
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    • 1998
  • A simple method to measure the elastic modulus E and Poisson's ratio v of diamod-like carbon (DLC) films deposited on Si wafer was suggested. Using the anisotropic etching technique of Si we could make the edge of DLC overhang free from constraint of Si substrate. DLC film is chemically so inert that we could not on-serve any surface damage after the etching process. The edge of DLC overhang free from constraint of Si substrate exhibited periodic sinusoidal shape. By measuring the amplitude and the wavelength of the sinu-soidal edge we could determine the stain of the film required to adhere to the substrate. Since the residual stress of film can be determine independently by measurement of the curvature of film-substrate com-posite we could calculated the biaxial elastic modulus E/(1-v) using stress-strain relation of thin films. By comparing the biaxial elastic modulus with the plane-strain modulus E/(1-{{{{ { v}^{2 } }}) measured by nano-in-dentation we could further determine the elastic modulus and Poisson's ratio independently. This method was employed to measure the mechanical properties of DLC films deposited by {{{{ { {C }_{6 }H }_{6 } }} rf glow discharge. The was elastic modulus E increased from 94 to 169 GPa as the {{{{ { V}_{ b} / SQRT { P} }} increased from 127 to 221 V/{{{{ {mTorr }^{1/2 } }} Poisson's ratio was estimated to be abou 0.16∼0.22 in this {{{{ { V}_{ b} / SQRT { P} }} range. For the {{{{ { V}_{ b} / SQRT { P} }} less than 127V/{{{{ {mTorr }^{1/2 } }} where the plastic deformation can occur by the substrate etching process however the present method could not be applied.

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가산자료모형을 이용한 지역사회기반형 관광수요 분석 (Demand Analysis for Community-based Tourism Using Count Data Models)

  • 윤희정
    • 한국지역사회생활과학회지
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    • 제22권2호
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    • pp.247-255
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    • 2011
  • This study analyzed the demand for a community-based tourism site using a poisson model, a negative binominal model, a truncated poisson model and a truncated negative binominal model as count data models. For these reasons, questionnaire surveys were conducted into 5 community-based tourism sites in Chuncheon city with 406 tourists, and was analyzed using the STATA program. The fitness levels of four models were significant(p=0.0000) using a likelihood ratio test. The study results suggest that the demand of community-based tourism sites for visiting tourists was influenced by a pre-visiting experience, recognition of sustainable tourism, visitation of downtown, purchase of souvenir or farm produce, conversation with regional residents, regional harmony, preservation of natural resources and sex within the poisson and truncated poisson models. However, the variables of visitation of downtown, preservation of natural resources and sex were not significant within the negative binominal model and the visitation of downtown and preservation of natural resources were not significant within the truncated negative binominal model. The results of the visiting demand of community-based tourism sites can provide information for sustainable regional development strategies.

Assessment of effect of material properties on seismic response of a cantilever wall

  • Cakir, Tufan
    • Geomechanics and Engineering
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    • 제13권4호
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    • pp.601-619
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    • 2017
  • Cantilever retaining wall movements generally depend on the intensity and duration of ground motion, the response of the soil underlying the wall, the response of the backfill, the structural rigidity, and soil-structure interaction (SSI). This paper investigates the effect of material properties on seismic response of backfill-cantilever retaining wall-soil/foundation interaction system considering SSI. The material properties varied include the modulus of elasticity, Poisson's ratio, and mass density of the wall material. A series of nonlinear time history analyses with variation of material properties of the cantilever retaining wall are carried out by using the suggested finite element model (FEM). The backfill and foundation soil are modelled as an elastoplastic medium obeying the Drucker-Prager yield criterion, and the backfill-wall interface behavior is taken into consideration by using interface elements between the wall and soil to allow for de-bonding. The viscous boundary model is used in three dimensions to consider radiational effect of the seismic waves through the soil medium. In the seismic analyses, North-South component of the ground motion recorded during August 17, 1999 Kocaeli Earthquake in Yarimca station is used. Dynamic equations of motions are solved by using Newmark's direct step-by-step integration method. The response quantities incorporate the lateral displacements of the wall relative to the moving base and the stresses in the wall in all directions. The results show that while the modulus of elasticity has a considerable effect on seismic behavior of cantilever retaining wall, the Poisson's ratio and mass density of the wall material have negligible effects on seismic response.

음의 포아송비 거동 격자체로 보강한 시멘트 복합체의 인장특성 평가 (Evaluation of Tensile Characteristics of Cementitious Composites Reinforced by Auxetic Mesh)

  • 김원우;이장화;문재흠
    • 한국건설순환자원학회논문집
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    • 제5권2호
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    • pp.192-197
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    • 2017
  • 콘크리트를 포함한 일반적인 재료는 외부 하중의 작용 시 양의 포아송비 거동을 가진다. 한편, 격자시스템에 있어서는 음의 포아송비 거동을 가지도록 제작할 수 있다. 이에 본 연구에서는 이중화살촉 형식의 2차원 음의 포아송비 격자체를 제작하여 역학적인 거동을 검토하였다. 또한 이러한 음의 포아송비 격자체로 보강한 시멘트 모르타르 복합체의 직접인장시험을 수행하였으며, 실험결과는 일반 격자체를 적용한 경우와 비교하였다. 연구 결과, 음의 포아송비 거동 격자체를 적용한 경우 복합체의 하중 직교방향의 변형을 구속하는 효과가 일반 격자체보다 더 효과적임을 보여주었다.

단결정 실리콘 박막의 미소인장 물성 평가 (Micro-tensile Test for Micron-sized SCS Thin Film)

  • 이상주;한승우;김재현;이학주
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.45-48
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    • 2008
  • The mechanical behavior of small-sized materials has been investigated for many industrial applications, including MEMS and semiconductors. It is challenging to obtain accurate mechanical properties measurements for thin films due to several technical difficulties, including measurement of strain, specimen alignment, and fabrication. In this work, we used the micro-tensile testing unit with the real-time DIC (Digital Image Correlation) strain measurement system. This system has advantages of real time strain monitoring up to 50 nm resolution during the micro-tensile test, and ability to measure the young's modulus and Poisson's ratio at the same time. The mechanical properties of SCS (Single Crystal Silicon) are measured by uniaxial tension test from freestanding SCS which are $2.5{\mu}m$ thick, $200-500{\mu}m$ wide specimens on the (100) plane. Young's modulus, Poisson's ratio and tensile strength in the <110> direction are measured by micro-tensile testing system.

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점탄성 재료의 복소수 동특성 측정방법 (Measurement Method of Complex Dynamic Viscoelastic Material Properties)

  • 이인원;안남현
    • 대한기계학회논문집A
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    • 제33권5호
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    • pp.489-495
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    • 2009
  • A novel technique to measuret of viscoelastic properties of polymers is proposed to investigate complex Poisson's ratio as a function of frequency. The forced vibration responses for the samples under the normal and the shear deformation are to be measured with varying load masses. The measured data were used to obtain the viscoelastic properties of the material based on an accurate 2D numerical deformation model of the sample. The 2D model enabled us to exclude data correction by the empirical form factor used in 1D model. Comprehensive measurements of viscoelastic properties of two slightly varied silicone RTV rubber ($Silastic^{(R)}$ S2) compositions were performed. Standard composition (90% PDMS polymer + 10% catalyst) and modified composition (92.5% polymer + 7.5% catalyst) were tested in temperature range from $30^{\circ}C$ to $70^{\circ}C$. Shear modulus, modulus of elasticity, loss factor, and both the real and the imaginary parts of the Poisson's ratio were determined for frequencies from 50 to 400Hz in the linear deformation regime (at relative deformations $10^{-4}{\sim}10^{-3}$).